1) Let's define the function f as follows: f(x) For each of the following, type your simplified numerical answer in the blank box. a) f(-2.5) = 0 b) f(4) = 0 = 6x³-11x²-57x + 20 for x in the interval [-2.5, 4]. c) Find the derivative. How many solutions are there for the equation f'(x) = 0? There are and the greatest solution is 2.49 two d) Find all of the solutions to the equation f'(x) = 0. Round these solutions to two decimal places. The smallest solution is -1.27 For this last question, type yes if your answer is yes and type no if your answer is no. e) Does this function f satisfy the assumptions of Rolle's Theorem? yes solutions.

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